log_binomial_coef.hpp File Reference

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Namespaces
namespace	internal

Functions
template<typename T >
constexpr T	internal::log_binomial_coef_compute (const T n, const T k) noexcept
template<typename T1 , typename T2 , typename TC = common_return_t<T1,T2>>
constexpr TC	internal::log_binomial_coef_type_check (const T1 n, const T2 k) noexcept
template<typename T1 , typename T2 >
constexpr common_return_t< T1, T2 >	log_binomial_coef (const T1 n, const T2 k) noexcept
	Compile-time log binomial coefficient. More...

Function Documentation

log_binomial_coef()

template<typename T1 , typename T2 >

constexpr common_return_t< T1, T2 > log_binomial_coef ( const T1  n, const T2  k  )

constexprnoexcept

Compile-time log binomial coefficient.

Parameters

n	integral-valued input.
k	integral-valued input.

Returns

computes the log Binomial coefficient

\[ \ln \frac{n!}{k!(n-k)!} = \ln \Gamma(n+1) - [ \ln \Gamma(k+1) + \ln \Gamma(n-k+1) ] \]